What is expand (pq^2+7)^3 ?

The solution to expand (pq^2+7)^3 is p^3q^6+21p^2q^4+147pq^2+343

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expand (pq^2+7)^3

expand

(p q^{2} + 7)^{3}

p^{3} q^{6} + 21 p^{2} q^{4} + 147 p q^{2} + 343

Solution steps

(p q^{2} + 7)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(p q^{2} + 7)^{3} = (p q^{2})^{3} + 3 (p q^{2})^{2} \cdot 7 + 3 p q^{2} \cdot 7^{2} + 7^{3}

= (p q^{2})^{3} + 3 (p q^{2})^{2} \cdot 7 + 3 p q^{2} \cdot 7^{2} + 7^{3}

Simplify

(p q^{2})^{3} + 3 (p q^{2})^{2} \cdot 7 + 3 p q^{2} \cdot 7^{2} + 7^{3} : p^{3} q^{6} + 21 p^{2} q^{4} + 147 p q^{2} + 343

= p^{3} q^{6} + 21 p^{2} q^{4} + 147 p q^{2} + 343

(3 c - 8) (3 c + 8)

(x - 2) (x + 4)

(a + b)^{7}

(a - b) (a^{2} + ab + b^{2})

lo g_{1} (x)

What is expand (pq^2+7)^3 ?
The solution to expand (pq^2+7)^3 is p^3q^6+21p^2q^4+147pq^2+343